This report from COMPASS Research Centre at the University of Auckland examines the linkage of children to parents, grandparents and great-grandparents through birth records in the Integrated Data Infrastructure (IDI).
Citation: Milne, B. J., Li E., Sporle A. (2020). Intergenerational Analyses Using the IDI:
An update. COMPASS Research Centre, https://www.auckland.ac.nz/content/dam/uoa/
We have a local copy of the report available here.